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Simplifying 2(7 + n) = 3n + 22 (7 * 2 + n * 2) = 3n + 22 (14 + 2n) = 3n + 22 Reorder the terms: 14 + 2n = 22 + 3n Solving 14 + 2n = 22 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 14 + 2n + -3n = 22 + 3n + -3n Combine like terms: 2n + -3n = -1n 14 + -1n = 22 + 3n + -3n Combine like terms: 3n + -3n = 0 14 + -1n = 22 + 0 14 + -1n = 22 Add '-14' to each side of the equation. 14 + -14 + -1n = 22 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = 22 + -14 -1n = 22 + -14 Combine like terms: 22 + -14 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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